x-1.7x+2.1=1.4(x+4.5)

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Solution for x-1.7x+2.1=1.4(x+4.5) equation: 


Simplifying
x + -1.7x + 2.1 = 1.4(x + 4.5)

Reorder the terms:
2.1 + x + -1.7x = 1.4(x + 4.5)

Combine like terms: x + -1.7x = -0.7x
2.1 + -0.7x = 1.4(x + 4.5)

Reorder the terms:
2.1 + -0.7x = 1.4(4.5 + x)
2.1 + -0.7x = (4.5 * 1.4 + x * 1.4)
2.1 + -0.7x = (6.3 + 1.4x)

Solving
2.1 + -0.7x = 6.3 + 1.4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.4x' to each side of the equation.
2.1 + -0.7x + -1.4x = 6.3 + 1.4x + -1.4x

Combine like terms: -0.7x + -1.4x = -2.1x
2.1 + -2.1x = 6.3 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
2.1 + -2.1x = 6.3 + 0.0
2.1 + -2.1x = 6.3

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -2.1x = 6.3 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -2.1x = 6.3 + -2.1
-2.1x = 6.3 + -2.1

Combine like terms: 6.3 + -2.1 = 4.2
-2.1x = 4.2

Divide each side by '-2.1'.
x = -2

Simplifying
x = -2

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